Triangles in the suborbital graphs of the normalizer of $\Gamma_0(N)$

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Yazıcı Gözütok N., Güler B. Ö.

Indonesian Journal of Combinatorics, vol.4, no.2, pp.82-90, 2020 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 4 Issue: 2
• Publication Date: 2020
• Doi Number: 10.19184/ijc.2020.4.2.1
• Journal Name: Indonesian Journal of Combinatorics
• Journal Indexes: EBSCO Legal Source
• Page Numbers: pp.82-90
• Karadeniz Technical University Affiliated: Yes

Abstract

<p>In this paper, we investigate a suborbital graph for the normalizer of Γ_{0(<em>N</em>)} ∈ PSL(2;<em>R</em>), where <em>N</em> will be of the form 2⁴<em>p</em>² such that <em>p</em> &gt; 3 is a prime number. Then we give edge and circuit conditions on graphs arising from the non-transitive action of the normalizer.</p>